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Original Articles

The Solution of Length Five Equations Over Groups

Pages 1914-1948 | Received 12 Mar 2005, Published online: 08 Jun 2007

REFERENCES

  • Bogley , W. A. , Pride , S. J. ( 1992 ). Aspherical relative presentations . Proc. Edinburg Math. Soc. 35 : 1 – 39 .
  • Collins , D. J. , Huebschmann , J. (1982). Spherical diagrams and identities among relators. Math. Ann. 261:155–183.
  • Edjvet , M. ( 2000 ). A singular equation of length four over groups . Algebra Colloquium 7 ( 3 ): 247 – 274 .
  • Edjvet , M. , Howie , J. ( 1991 ). The solution of length four equations over groups . Transactions of the American Mathematical Society 326 : 345 – 369 .
  • Edjvet , M. , Juhasz , A. ( 1994 ). On equations over groups . International Journal of Algebra and Computation 3 ( 4 ): 451 – 468 .
  • Edjvet , M. , Juhasz , A. ( 2000 ). Equations of length 4 and one-relator products . Math. Proc. Camb. Phil. 129 : 217 – 229 .
  • Evangelidou , A. ( 2003 ). Equations of Length Five . Ph. D. Thesis, University of Nottingham. Available at http://etheses.nottingham.ac.uk/archive/00000103/
  • Gersten , S. M. ( 1987 ). Reducible diagrams and equations over groups . In: Gersten , S. M. , ed. Essays in Group Theory ( 8 ). MSRI publication: Springer-Verlag , pp. 15 – 73 .
  • Howie , J. ( 1981 ). On pairs of 2-complexes and systems of equations over groups . J. Reine Angew. Math. 324 : 165 – 174 .
  • Howie , J. ( 1983 ). The solution of length three equations over groups . Proceedings of the Edinburg Mathematical Society 26 : 89 – 96 .
  • Howie , J. ( 1991 ). Nonsingular systems of two length three equations over a group . Math. Proc. Camb. Phil. Soc. 110 : 11 – 24 .
  • Levin , F. ( 1962 ). Solutions of equations over groups . Bull. Amer. Math. Soc. 68 : 603 – 604 .
  • Rothaus , S. O. ( 1977 ). On the non-triviality of some group extensions given by generators and relators . Annals of Mathematics 106 ( 2 ): 599 – 612 .
  • Communicated by A. Yu. Olshanskii.

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